Search for a 'stable alignment limit' in two Higgs-doublet models

Abstract

We study the conditions required to make the 2HDM scalar potential stable up to the Planck scale. The lightest CP-even scalar is assumed to have been found at the LHC and the {\em alignment limit} is imposed in view of the LHC Higgs data. We find that ensuring stability up to scales $\gtrsim 10^{10}$~GeV necessitates the introduction of a soft breaking parameter in the theory. Even then, some interesting correlations between the nonstandard masses and the soft breaking parameter need to be satisfied. Consequently, a 2HDM becomes completely determined by only two nonstandard parameters, namely, $\tb$ and a mass parameter, $m_0$, with $\tb \gtrsim 3$. These observations make a 2HDM, in the {\em stable alignment limit}, more predictive than ever.

References added, some comments added, matches with published PRD version

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• Relating the Cabibbo angle to $\tan \beta$ in a two Higgs-doublet model
• The Hunt for the Rest of the Higgs Bosons
• Democratic three Higgs-doublet models: the custodial limit and wrong-sign Yukawa
• Phenomenological aspects from vacuum stability and metastability in models with soft breaking of a \texorpdfstring{$U\left(1\right)$}{lg} global symmetry
• Exploring the extended scalar sector with resonances in vector boson scattering